初二数学题(整式的乘法)急用!①若(2x+y-1)的二次方+|x-2y-3|=0,求代数式(2x+y)(2x-y)-(x
3个回答

1.(2x+y-1)^2+|x-2y-3|=0

2x+y-1=0,x-2y-3=0

x=1,y=-1

(2x+y)(2x-y)-(x+2y)(x-2y-1)

=4x^2-y^2-(x+2y)(x-2y)+(x+2y)

=4x^2-y^2-x^2+4y^2+x+2y

=3x^2-3y^2+x+2y

=3-3+1+2*(-1)

=-1

2.(2x+3)(3x+2)-6x(x+3)+5x+6

=6x^2+4x+9x+6-6x^2-18x+5x+6

=12

代数式(2x+3)(3x+2)-6x(x+3)+5x+6的值与x的取值无关.

3.(x^2+px+8)*(x^2-3x-q)

=x^4-3x^3-qx^2+px^3-3px^2-pqx+8x^2-24x-8q

=x^4+(-3+p)x^3+(-q-3p+8)x^2+(-pq-24)x-8q

积中不含 x的三次方 与x项

-3+p=0,-pq-24=0

p=3,q=-8

4.:(x-y)[(x+y)(x+y)-xy]+(x+y)[(x-y)(x-y)+xy]

=(x-y)[x^2+2xy+y^2-xy]+(x+y)[x^2-2xy+y^2+xy]

=(x-y)(x^2+xy+y^2)+(x+y)(x^2-xy+y^2)

=x^3-y^3+x^3+y^3

=2x^3

:(x-y)[(x+y)(x+y)-xy]+(x+y)[(x-y)(x-y)+xy]的值是2x^3, 它的值与 y无关

5.a*b=ab+a-b

a*b+(b-a)*b=ab+a-b+(b-a)b+(b-a)-b

=ab+a-b+b^2-ab+b-a-b

=b^2-